A Schmidt Decomposition Approach to Quantum Thermodynamics
The development of a self-consistent thermodynamic theory of quantum systems is of fundamental importance for modern physics. Still, despite its essential role in quantum science and technology, there is no unifying formalism for characterizing the thermodynamics within general autonomous quantum sy...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-11-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/24/11/1645 |
| _version_ | 1797465349278400512 |
|---|---|
| author | André Hernandes Alves Malavazi Frederico Brito |
| author_facet | André Hernandes Alves Malavazi Frederico Brito |
| author_sort | André Hernandes Alves Malavazi |
| collection | DOAJ |
| description | The development of a self-consistent thermodynamic theory of quantum systems is of fundamental importance for modern physics. Still, despite its essential role in quantum science and technology, there is no unifying formalism for characterizing the thermodynamics within general autonomous quantum systems, and many fundamental open questions remain unanswered. Along these lines, most current efforts and approaches restrict the analysis to particular scenarios of approximative descriptions and semi-classical regimes. Here, we propose a novel approach to describe the thermodynamics of arbitrary bipartite autonomous quantum systems based on the well-known Schmidt decomposition. This formalism provides a simple, exact, and symmetrical framework for expressing the energetics between interacting systems, including scenarios beyond the standard description regimes, such as strong coupling. We show that this procedure allows straightforward identification of local effective operators suitable for characterizing the physical local internal energies. We also demonstrate that these quantities naturally satisfy the usual thermodynamic notion of energy additivity. |
| first_indexed | 2024-03-09T18:20:17Z |
| format | Article |
| id | doaj.art-1dd24fce23d84839bb750f4a2ffcd78a |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T18:20:17Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-1dd24fce23d84839bb750f4a2ffcd78a2023-11-24T08:18:32ZengMDPI AGEntropy1099-43002022-11-012411164510.3390/e24111645A Schmidt Decomposition Approach to Quantum ThermodynamicsAndré Hernandes Alves Malavazi0Frederico Brito1Instituto de Física de São Carlos, Universidade de São Paulo, C.P. 369, São Carlos 13560-970, SP, BrazilInstituto de Física de São Carlos, Universidade de São Paulo, C.P. 369, São Carlos 13560-970, SP, BrazilThe development of a self-consistent thermodynamic theory of quantum systems is of fundamental importance for modern physics. Still, despite its essential role in quantum science and technology, there is no unifying formalism for characterizing the thermodynamics within general autonomous quantum systems, and many fundamental open questions remain unanswered. Along these lines, most current efforts and approaches restrict the analysis to particular scenarios of approximative descriptions and semi-classical regimes. Here, we propose a novel approach to describe the thermodynamics of arbitrary bipartite autonomous quantum systems based on the well-known Schmidt decomposition. This formalism provides a simple, exact, and symmetrical framework for expressing the energetics between interacting systems, including scenarios beyond the standard description regimes, such as strong coupling. We show that this procedure allows straightforward identification of local effective operators suitable for characterizing the physical local internal energies. We also demonstrate that these quantities naturally satisfy the usual thermodynamic notion of energy additivity.https://www.mdpi.com/1099-4300/24/11/1645quantum thermodynamicsopen quantum systemsstrong coupling |
| spellingShingle | André Hernandes Alves Malavazi Frederico Brito A Schmidt Decomposition Approach to Quantum Thermodynamics Entropy quantum thermodynamics open quantum systems strong coupling |
| title | A Schmidt Decomposition Approach to Quantum Thermodynamics |
| title_full | A Schmidt Decomposition Approach to Quantum Thermodynamics |
| title_fullStr | A Schmidt Decomposition Approach to Quantum Thermodynamics |
| title_full_unstemmed | A Schmidt Decomposition Approach to Quantum Thermodynamics |
| title_short | A Schmidt Decomposition Approach to Quantum Thermodynamics |
| title_sort | schmidt decomposition approach to quantum thermodynamics |
| topic | quantum thermodynamics open quantum systems strong coupling |
| url | https://www.mdpi.com/1099-4300/24/11/1645 |
| work_keys_str_mv | AT andrehernandesalvesmalavazi aschmidtdecompositionapproachtoquantumthermodynamics AT fredericobrito aschmidtdecompositionapproachtoquantumthermodynamics AT andrehernandesalvesmalavazi schmidtdecompositionapproachtoquantumthermodynamics AT fredericobrito schmidtdecompositionapproachtoquantumthermodynamics |